Suppose $f_1,f_2$ and $f_3$ are vectors in a vector space $V$ with a dot product. Me assume that the vectors are linearly independent.
What does it mean to find the covariant metric tensor of $\text{span}\{f_1,f_2,f_3\}$?
2026-04-18 13:32:03.1776519123
Covariant metric tensor of a subspace
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Metric tensor would be the matrix $(g_{ij})$ given by the products $\langle f_i,f_j \rangle$. Covariant means (probably) that matrix (the inverse matrix transforms contravariantly).